The generator matrix

 1  0  1  1  1  1  1  1  3  1  1  0  1 X+3  1  1  1  1  1 X+3  1 2X  1 2X+6  1  3  1  1 2X+6  1
 0  1  1  8  3  2  0 2X+1  1  7  8  1  4  1 X+3 2X+6 2X+8 X+3 2X+8  1 X+6  1 2X+3  1 X+2  1 X+2 X+5  1  2
 0  0 2X  6 X+6 X+3 2X+6  X  X 2X+3 2X+6 2X+6  3  6 2X+3  6 2X  0  3 2X  X  0 X+6 X+3  X 2X  6 2X  6 X+6

generates a code of length 30 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 55.

Homogenous weight enumerator: w(x)=1x^0+180x^55+306x^56+758x^57+552x^58+768x^59+1342x^60+750x^61+828x^62+710x^63+288x^64+18x^65+10x^66+6x^67+6x^68+12x^69+6x^70+18x^71+2x^78

The gray image is a code over GF(3) with n=270, k=8 and d=165.
This code was found by Heurico 1.16 in 0.0425 seconds.